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Finding the Fourth Proportional to 113,613.04, 156,662.92 and 77,338

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Solution

The fourth proportional to 113,613.04, 156,662.92 and 77,338 is: 106,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,613.04 : 156,662.92 = 77,338 : x
  2. Step 2: Convert to fraction form
    113,613.04/156,662.92 = 77,338/x
  3. Step 3: Cross multiply
    113,613.04x = 156,662.92 × 77,338
  4. Step 4: Simplify right side
    113,613.04x = 12,115,996,906.96
  5. Step 5: Solve for x
    x = 12,115,996,906.96/113,613.04
  6. Step 6: Final answer
    x = 106,642.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.